Answer:
300'
Step-by-step explanation:
Answer:
1/8 mile
Step-by-step explanation:
Because if you do the math the avarge car is 4.7 feet multiply that by 20 and there is your answer
The cost of an item is $75. What will the total cost be with 9% tax?
Answer:
81.75
Step-by-step explanation:
75*1.09 = 81.75
Answer:$81.75
Step-by-step explanation:
9% of 75 is 6.15, add that to 75 and the answer is 81.75
Pls help me solve this
Jamie placed $2800 in a savings account which earns 4.3% interest, compounded continuously. How much will she have in the account after 9 years? Round your answer to the nearest dollar. Do NOT round until you have calculated the final answer.
Answer:
4123
Step-by-step explanation:
A=Pert,
where A is the balance of the account, P is the principal, r is the annual interest rate (as a decimal), and t is the time (in years). We are given that P=2800, r=0.043, and t=9. Substituting the values into the formula and using a calculator to evaluate, we find
A=Pert=2800e(0.043)(9)≈4123.16
Question
Sam sells orange juice by the glass and each glass contains 250 milliliters of orange juice. Sam has 10
cartons that each contain 3.5 liters of orange juice. What is the greatest number of glasses of orange juice
that Sam can sell? (1 liter = 1,000 milliliters)
Answer:
14 glasses
Step-by-step explanation:
3.5 (liters) times 10 (cartons) = 35 (liters)
(1 liter = 1,000 milliliters)
(35 liters = 3,500 milliliters)
3,500 (liters) divided by 250 (milliliters) = 14 glasses
The greatest number of glasses of orange juice that Sam can sell will be 140 glass.
What are ratio and proportion?A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.
Sam sells orange juice by the glass, and each glass contains 250 milliliters of orange juice.
Sam has 10 cartons that each contain 3.5 liters of orange juice.
Then the total amount of orange juice will be
Total amount = 10 x 3.5
Total amount = 35 liters
We know that one liter is equal to 1000 milliliters.
Then the total amount of the orange juice in milliliters will be
Total amount = 35 x 1000
Total amount = 35,000 milliliters
Then the greatest number of glasses of orange juice that Sam can sell will be
Total number of glass = 35,000 / 250
Total number of glass = 140 glass
The greatest number of glasses of orange juice that Sam can sell will be 140 glass.
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Find the derivative of f(x) = -12x2 + 9x at x = 6.
a) -112.5
b)-135
c)90
d)108
hi
f(x) = -12x²+9x
So
f'(x) = -24x +9
if x = 6 then f'(6) = -24 (6) +9 = -135
What is the range of the function on the graph?
Range is the output values which are the y values.
The dot is at y = 2 and the line moves upward to the right off the graph. This means the line will continue to infinity.
The range would be 2 to infinity.
(2, infinity)
The measure of angle ABC is 84, find the measure of angle ADC.
Answer:
Step-by-step explanation:
uhhh i think so its 84 is abc but adc is missing try 48 i dont know but i try
David invests $7000 in two different accounts. The first account paid 2 %, the second account paid 5
% in interest. At the end of the first year he had earned $182 in interest. How much was in each
account?
Answer:
3,990
Step-by-step explanation:
How can I get the answer for c
A kite flying in the air has a 78-string attached to it, and the string is pulled taut. The angle of elevation of the kite is 52°. Find the height of the kite. Round
your answer to the nearest tenth.
Answer:
sine 52 degrees = height / 78
height = 78 * sine 52
height = 78 * 0.78801
height = 61.46478 feet
rounded to nearest tenth 61.5 feet
Step-by-step explanation:
solve the system by substitution......
Answer:
(4,8) is the answer.
Step-by-step explanation:
To solve by substitution, you need to isolate a variable. The bottom equation already has y isolated, so we can just plug that into the other equation:
[tex]2x=-2x+16[/tex]
Add [tex]2x[/tex] to both sides in order to get rid of the [tex]-2x[/tex] on the right side:
[tex]4x=16[/tex]
Now divide by 4 on both sides to get:
[tex]x=4[/tex]
That gives us our x. Now plug in that x into either equation. I will just choose the bottom equation:
[tex]y=2(4)\\y=8[/tex]
Therefore the solution to this problem is (4,8).
Find the midpoint of BD.
B (0, a)
C С
А
D (a,0)
Enter the value that [?]
belongs in the green box.
Midpoint Formula: M = (4x2.979)
들
2
Enter
Answer:
A
Step-by-step explanation:
(0.5a, 0.5a) is the midpoint of the line BD and a is the value that belongs in the green box.
What is a midpoint?The midpoint of a line segment is a point that lies exactly halfway between two points.
Consider the points B(0,a) and D(a,0).
The general form of midpoint formula is given by
Midpoint = ( (x₁ + x₂)/2 , (y₁ + y₂)/2)
Here, x₁ = 0, x₂=a and y₁ = a, y₂ = 0
Therefore, the value that belongs in the green box is given by
(x₁ + x₂)/2 = (0+a)/2 = a/2 = 0.5a
(y₁ + y₂)/2 = (a+0)/2 = a/2 = 0.5a
The midpoint is given by
Midpoint = ( (x₁ + x₂)/2 , (y₁ + y₂)/2) = (0.5a, 0.5a)
Hence, the value that belongs in the green box is a and the midpoint of the line BD is (0.5a, 0.5a).
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A function y(t) satisfies the differential equation dy dt = y4 − 10y3 + 24y2. (a) What are the constant solutions of the equation? (Enter your answers as a comma-separated list.) y = (b) For what values of y is y increasing? (Enter your answer in interval notation.) y (c) For what values of y is y decreasing? (Enter your answer in interval notation.) y
Answer:
[tex](a)\ y =0\ or\ y=4\ or\ y=6[/tex]
[tex](b) \ (-\infty,4)\ u\ (6,\infty)[/tex]
[tex](c)\ (4,6)[/tex]
Step-by-step explanation:
Given
[tex]\frac{dy}{dt} = y^4 - 10y^3 + 24y^2[/tex]
Solving (a): The constants
This implies that:
[tex]\frac{dy}{dt} = 0[/tex]
So, we have:
[tex]y^4 - 10y^3 + 24y^2 = 0[/tex]
Factorize:
[tex]y^2(y^2 - 10y + 24) = 0[/tex]
Expand and Factorize the expression in bracket
[tex]y^2(y^2 - 6y - 4y + 24) = 0[/tex]
[tex]y^2(y(y - 6) - 4(y - 6)) = 0[/tex]
[tex]y^2(y - 4)(y - 6) = 0[/tex]
Split
[tex]y^2 =0\ or\ y-4=0\ or\ y-6=0[/tex]
Solve for y
[tex]y =0\ or\ y=4\ or\ y=6[/tex]
The above represents the constants
Solving (b): Increasing values
Here
[tex]\frac{dy}{dx} > 0[/tex]
Follow the same process in (a) but replace all = with >
i.e.
[tex]y^2(y - 4)(y - 6) > 0[/tex]
[tex]y >0\ or\ y>4\ or\ y>6[/tex]
Test the values of each inequality
For [tex]y > 6[/tex]; say [tex]y = 7[/tex]
[tex]\frac{dy}{dt} = y^4 - 10y^3 + 24y^2[/tex]
[tex]\frac{dy}{dt} = 7^4 - 10*7^3 + 24*7^2[/tex]
[tex]\frac{dy}{dt} = 147[/tex]
[tex]147 > 0[/tex]
This is true for [tex]\frac{dy}{dx} > 0[/tex]; This implies that: [tex](6, \infty)[/tex]
For [tex]y > 4[/tex] Say [tex]y = 5[/tex]
[tex]\frac{dy}{dt} = y^4 - 10y^3 + 24y^2[/tex]
[tex]\frac{dy}{dt} = 5^4 - 10*5^3 + 24*5^2[/tex]
[tex]\frac{dy}{dt} = -25[/tex]
This is false:
Say [tex]y = 3[/tex] i.e. [tex]y < 4[/tex]
[tex]\frac{dy}{dt} = y^4 - 10y^3 + 24y^2[/tex]
[tex]\frac{dy}{dt} = 3^4 - 10*3^3 + 24*3^2[/tex]
[tex]\frac{dy}{dt} = 27[/tex]
[tex]27 > 0[/tex]
This is true for [tex]\frac{dy}{dx} > 0[/tex]. This implies that: [tex](0,4)[/tex]
For [tex]y > 0[/tex]
[tex]y > 0[/tex] implies that: [tex]y < 4[/tex]
For [tex]y < 0[/tex] say [tex]y = -1[/tex]
[tex]\frac{dy}{dt} = y^4 - 10y^3 + 24y^2[/tex]
[tex]\frac{dy}{dt} = (-1)^4 - 10*(-1)^3 + 24*(-1)^2[/tex]
[tex]\frac{dy}{dt} = 35[/tex]
This is true for [tex]\frac{dy}{dx} > 0[/tex]. This implies that [tex](-\infty, 0)[/tex]
We have: [tex](-\infty,0), (0,4)\ and\ (6,\infty)[/tex]
[tex](-\infty,0)\ and\ (0,4)[/tex] can be combined to give: [tex](-\infty,4)[/tex]
So, the interval is: [tex](-\infty,4)\ u\ (6,\infty)[/tex]
Solving (c): Decreasing values
Here
[tex]\frac{dy}{dx} < 0[/tex]
i.e.
[tex]y^2(y - 4)(y - 6) < 0[/tex]
[tex]y <0\ or\ y<4\ or\ y<6[/tex]
Test the values of each inequality
For [tex]y < 6[/tex]; say [tex]y = 5[/tex]
[tex]\frac{dy}{dt} = y^4 - 10y^3 + 24y^2[/tex]
[tex]\frac{dy}{dt} = 5^4 - 10*5^3 + 24*5^2[/tex]
[tex]\frac{dy}{dt} = -25[/tex]
This is true for [tex]\frac{dy}{dx} < 0[/tex]; This implies that: [tex](\infty,6)[/tex]
For [tex]y < 4[/tex]; say [tex]y = 3[/tex]
[tex]\frac{dy}{dt} = y^4 - 10y^3 + 24y^2[/tex]
[tex]\frac{dy}{dt} = 3^4 - 10*3^3 + 24*3^2[/tex]
[tex]\frac{dy}{dt} = 27[/tex]
This is false
Say [tex]y = 5[/tex] i.e. [tex]y > 4[/tex]
This is the same as: [tex]y < 6[/tex]
So, we have the interval to be: [tex](4,\infty)[/tex]
For [tex]y < 0[/tex] say [tex]y = -1[/tex]
[tex]\frac{dy}{dt} = y^4 - 10y^3 + 24y^2[/tex]
[tex]\frac{dy}{dt} = (-1)^4 - 10*(-1)^3 + 24*(-1)^2[/tex]
[tex]\frac{dy}{dt} = 35[/tex]
This is false
Say [tex]y = 2[/tex] i.e [tex]y > 0[/tex]
[tex]\frac{dy}{dt} = y^4 - 10y^3 + 24y^2[/tex]
[tex]\frac{dy}{dt} = 2^4 - 10*2^3 + 24*2^2[/tex]
[tex]\frac{dy}{dt} = 32[/tex]
This is also false
So, the intervals are: [tex](4,\infty)[/tex] and [tex](\infty,6)[/tex].
This can be merged as: [tex](4,6)[/tex]
Hence, the interval for [tex]\frac{dy}{dt} < 0[/tex] is [tex](4,6)[/tex]
PLEASE HELp ME U GET ALOT OF POINTS 97points
circumference and Area of circles
7. Demi measured the wheels on her brother's wagon. The diameter of each
wheel is 15 inches. To the nearest inch, how far will the wagon travel each
time the wheels make a complete turn?
8.The radius of circle A is 6 ft. The diameter of circle B is 6 ft. To the nearest
foot, how much greater is the circumference of circle A as compared to the circumference of circle B?
9. The larger circle in the design at the right has a radius of 40 in.
What is the area of the shaded part of the design?
30 in.
10. Max knows that the circumference of a circular pool is 12 ft.
He estimates that the diameter of the pool is between 3 ft and 4 ft. Is this reasonable? Explain.
Answer:
#7
C = πd = 3.14*15 in = 47 in (rounded)#8
C₁ = 2πr = 2*3..14*6 ft = 37.68 ftC₂ = πd = 3.14*6 ft = 18.84 ftThe difference:
C₁ - C₂ = 37.68 - 18.84 = 19 ft (rounded)#9
No picture attached#10
C = 12 ftd = C/πd = 12/3.14 = 3.82 ft3 ft < 3.82 ft < 4 ftMax is right
Find the exact value of x. Do the side lengths form a Pythagorean triple?
Answer: Square root (52), No
Step-by-step explanation:
Answer:
Step-by-step explanation:
4^2 + 6^2 = x^2
sqrt 52 = x
x= 7.211
No, it is not a pythagorean triple because x is not a whole number.
PLEASE HURRY! FIRST PERSON GETS BRAINLIST!!!!!!
Hank is throwing a surprise party. The party costs $20 per person. Create an equation and graph to represent the relationship between the cost of the party and the number of friends attending.
The independent variable is ____.
A. Number of friends (f)
B. Cost of party (c)
Answer:
B
Step-by-step explanation:
Please help me with this answer
Thank you!
Two miners are trying to push a stationary mine cart filled with gold. Miner A is exerting 25 N while miner B is exerting 20 N. However it is observed that the mine cart remained stationary despite their push. How much force does the road exert on the wheel of the cart?
a. 25 N
b. 45 N
c. Less than
45 N d. More than 25 N
Answer:
b. 45 N
Step-by-step explanation:
The sum of the forces exerted by the two miners = 25 + 20
= 45 N
Since after applying a force of 45 N by the two miners the cart remained stationary, it implies that a resistance force of at least 45 N acts against their push. Thus, the force exerted by the road could be equal to 45 N or greater than 45 N.
Probably, if the sum of the forces applied is 46 N, the cart would move. Which depends on the value of resistance force applied by the road. Thus, the appropriate answer from the given option is B.
Since the force applied on the cart equals the resistance force exerted by the road, the cart would not move.
Evaluate the expression. Can someone show me how this is done with fractions on 7 and 9
Answer:
Number 7 is; -1/7776
number nine is :| −8/ 3 | or 2.666667
Step-by-step explanation:
-1/6)^5=1^5/6^5
=-1/^5/6/5
1^5=1
=-1/6^5
6^5=7776
=-1/7776
|(− 1/ 3 )(110+9−2)|
=| −1/ 3 (110+9−2)|
=| −1/ 3 (1+9−2)|
=| −1/ 3 (10−2)|
=| −1 /3 (8)|
=| −8 /3 | =2.666667
Hope this helped!!!!
Somebody help me please whoever answers first get it thanks and 11 points
Answer:
time 0 1. 2. 3.
distance. 0. 60. 120. 180.
1.time and distance are the two main quantity.
2. distance depends on time
3.time
4. hours minutes seconds
5.distance miles metres kilometers
6.Time is always the independent variable. The other variable is the dependent variable (in our example: time is the independent variable and distance is the dependent variable).
7 multiplicative
8.miles per hours
9.rate= distance/time
rate*time=distance
A water station table at a marathon starts with 200 plastic cups on it. Every minute, 15 cups are taken from the table. How many minutes could have passed if there are fewer than 50 cups on the table?
Answer:
is dancing with the circus grows and the mongooses you join us for the circus grows and the mongooses you join us for the circus grows and the mongooses you
Please help me with this!
9514 1404 393
Answer:
y ≥ -2/3x +2
Step-by-step explanation:
The y-intercept of the boundary line is y=2.
The next grid intersection to the right appears to be the x-intercept at x=3, which represents a "rise" of -2 and a "run" of +3 from the y-intercept.
At this point, we know the slope (rise/run = -2/3) and the y-intercept (+2) of the boundary line. We see it is a solid line, and shading is above it. This means the inequality could be ...
y = mx + b . . . . . . . . . equation for a line with slope m and y-intercept b
y ≥ -2/3x +2 . . . . . equation for the graphed inequality
__
Alternate solution
We observe that the y-intercept is +2, and the x-intercept is +3. The equation of the boundary line can be written in intercept form as ...
x/x-intercept = y/y-intercept = 1
As noted above, the line is shaded where both x- and y-values are greater than or equal to those on the line. So, the "intercept form" of the inequality could be ...
x/3 +y/2 ≥ 1
Often, we don't like fractions, so we can multiply by 6 to put this in standard form:
2x +3y ≥ 6
_____
Additional comment
Any of these highlighted inequalities is "an inequality" that describes the graph. We don't know if you're required to write the inequality in a specific form.
MUST HELP!!!! (+50 POINTS +BRANILEST +5 STARS +THANKS ON PROFILE)
Answer:
Personification is your answer.
Hope it helps!!!
−8≤2/5(k−2) negative 8 is greater than/equal to 2/ fifths (k minus 2)
Answer:60
Step-by-step explanation:
What is the value of the expression below when x equals 4? 13 + 13x
Answer:
the answer is 50
Step-by-step explanation:
For the polynomial x^3-7x^2+12x-6, 1 is a zero. Express g(x) as a product of linear factors.
Answer:
(x–1)(x²–6x+6)
Explanation:
Given that 1 is a zero, we can use synthetic division to compute the factor.
If 1 is a zero (x–1) is a factor.
Here is the process:
| 1 | 1 -7 12 -6
↓ +(1) +(-6) +(6)
↓ ↓ ↓
1 -6 6 0
→ [1]x² + [-6]x + [6]1 + [0]/x–1 =
x² – 6x + 6.
Therefore the factors are (x–1)(x²–6x+6)
a bottle of soft drinks costs $2. the commission paid on one bottle is 2% of the cost price.find the commission on 24 bottles of soft drinks
Answer:
$0.96
Step-by-step explanation:
First, find the cost of the 24 bottles, by multiplying 24 by 2
24(2)
= 48
Find the commission by finding 2% of 48
48(0.02)
= 0.96
So, the commission will be $0.96
The commission on 24 bottles of soft drinks is $0.96.
How to find the commission on 24 bottles of soft drinks?Given:
a bottle of soft drinks costs $2. the commission paid on one bottle stands at 2% of the cost price.
First, we want to estimate the cost of the 24 bottles, by multiplying 24
by 2
[tex]= 24*(2)[/tex]
= 48
To find the commission by estimating 2% of 48
commission = 48*(0.02)
commission = 0.96
So, the commission will be $0.96.
Therefore, the commission on 24 bottles of soft drinks is $0.96.
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What is the height of the tree?
Answer:
24 feet tall
Step-by-step explanation:
First you divide 6 by 10 and then you get 0.6, you then multiply 0.6 by 40 and you get 24.
Please help :) Giving brainliest.
Answer:
D
Step-by-step explanation:
A researcher studying public opinion of proposed Social Security changes obtains a simple random sample of 50 adult Americans and asks them whether or not they support the proposed changes. To say that the distribution of the sample proportion of adults who respond yes, is approximately normal, how many more adult Americans does the researcher need to sample in the following cases? (a) 20% of all adult Americans support the changes (b) 25% of all adult Americans support the changes
Hence, the study would require at least 385 more adult Americans to be sampled as the degree of inaccuracy is E. (e.g., 0.05).
What is proportionality ?In mathematics, proportionality is the connection between two factors that maintains a fixed ratio called scale factor. Or, to put it another way, if one variable is increased or divided by a specific number, the second variable will also be doubled or divided by that identical number, maintaining their proportionality. Calculus, algebra, and geometry are three areas of mathematics where this idea is frequently applied.
given
(a) If 20% of adult Americans favour the suggested reforms, the sample size needed at the very least is:
n = [(zα/2)² * p * (1-p)] / E²
where z/2 is the standard normal distribution's critical value for the chosen degree of confidence (e.g., 1.96 for a 95% confidence level).
The population proportion is p. (0.2 in this case)
The degree of inaccuracy is E. (e.g., 0.05)
When we enter the values, we obtain:
n = [(1.96)² * 0.2 * (1-0.2)] / 0.05²
n = 1536.64
Thus, the study would require at least 1537 more adult Americans to be sampled.
(b) The minimal sample size needed if the proposed modifications are
supported by 25% of all adult Americans is:
n = [(zα/2)² * p * (1-p)] / E²
where:
The standard normal distribution's critical value, z/2, depends on the desired level of confidence (e.g., 1.96 for a 95% confidence level).
The population proportion is p. (0.25 in this case)
The degree of inaccuracy is E. (e.g., 0.05)
When we enter the values, we obtain:
n = [(1.96)² * 0.25 * (1-0.25)] / 0.05² \sn = 384.16
Hence, the study would require at least 385 more adult Americans to be sampled as the degree of inaccuracy is E. (e.g., 0.05).
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